The Parisian club has now won the season-opening trophy on 14 different times.
Paris Saint-Germain needed a dramatic leveler followed by a perfect penalty shootout to overcome their arch-rivals in Kuwait and capture a record-extending fourth consecutive French Super Cup victory.
The European champions appeared to be sailing towards a straightforward triumph in the match featuring the French league champions and the Coupe de France winners after Ousmane Dembele found the net early on.
Yet, the southern French side struck twice late to take a shock lead. First, the English forward scored from the spot-kick, before the defender inadvertently turned the ball into his own net for an own-goal.
In a remarkable twist of fortune, Goncalo Ramos grabbed a vital equaliser in the dying seconds to force the contest into a penalty shootout. The Parisian shot-stopper Chevalier then stood as the hero, stopping crucial attempts from Matt O'Riley and Hamed Traore.
From the spot, Ramos, Vitinha, the full-back, and Desire Doue all scored with composure for Paris Saint-Germain to complete a convincing penalty victory.
The record champions PSG, who faced last season's Ligue 1 runners-up Olympique de Marseille after achieving a league and cup double, have now lifted this competition for the 12th time in the past 13 seasons.
